Question : If $(a+b)=5$, then the value of $(a-3)^7+(b-2)^7$ is:
Option 1: $2^7$
Option 2: $3^7$
Option 3: $1$
Option 4: $0$
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Answer (1)
20th Jan, 2024
Correct Answer: $0$
Solution :
Given: $(a+b)=5$
$⇒a=5-b$
The value of the expression $(a-3)^7+(b-2)^7$ is given as,
$=(5-b-3)^7+(b-2)^7$
$=(2-b)^7+(b-2)^7$
$=-(b-2)^7+(b-2)^7$
$=0$
Hence, the correct answer is $0$.
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